**Kinetic energy** (KE) is half times the product of **mass **(m), and the square of **velocity** (v). Using the formula of kinetic energy: **KE = ½ × m v**** ^{2}**, the value of kinetic energy of an object can be calculated.

Let’s solve some problems based on this formula, so you’ll get a clear idea.

## Kinetic Energy Practice Problems

**Problem 1:** A ball of mass 3 kg is moving with the velocity of 6 m/s. Calculate the kinetic energy of a ball.

Solution:

Given data:

Mass of a ball, m = 3 kg

Velocity of a ball, v = 6 m/s

Kinetic energy of a ball, KE = ?

Using the formula of kinetic energy,

KE = ½ × m v^{2}

KE = ½ × 3 × (6)^{2}

KE = ½ × 3 × 36

KE = 54 J

Therefore, the kinetic energy of a ball is **54 J**.

**Problem 2:** What is the kinetic energy of a 6 kg bicycle running with the velocity of 12 m/s?

Solution:

Given data:

Mass of a bicycle, m = 6 kg

Velocity of a bicycle, v = 12 m/s

Kinetic energy of a bicycle, KE = ?

Using the formula of kinetic energy,

KE = ½ × m v^{2}

KE = ½ × 6 × (12)^{2}

KE = 3 × 144

KE = 432 J

Therefore, the kinetic energy of a bicycle is **432 J**.

**Problem 3:** Calculate the kinetic energy of a 800 kg car moving with the velocity of 3 m/s.

Solution:

Given data:

Kinetic energy of a car, KE = ?

Mass of a car, m = 800 kg

Velocity of a car, v = 3 m/s

Using the formula of kinetic energy,

KE = ½ × m v^{2}

KE = ½ × 800 × (3)^{2}

KE = 400 × 9

KE = 3600 J

Therefore, the kinetic energy of a car is **3600 J**.

**Problem 4:** A 400 kg rail wagon has a velocity of 7 m/s. What is the kinetic energy of a rail wagon?

Solution:

Given data:

Mass of a rail wagon, m = 400 kg

Velocity of a rail wagon, v = 7 m/s

Kinetic energy of a rail wagon, KE = ?

Using the formula of kinetic energy,

KE = ½ × m v^{2}

KE = ½ × 400 × (7)^{2}

KE = 200 × 49

KE = 9800 J

Therefore, the kinetic energy of a rail wagon is **9800 J**.

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**Related:**

- Thermal Energy Equation
- Potential Energy Formula
- Gravitational Potential Energy Formula
- Electric Potential Energy Formula
- Elastic Potential Energy Formula
- Rotational Kinetic Energy Formula
- Electrical Energy Equation
- Mechanical Energy Formula
- Photon Energy Equation
- Conservation of Energy Formula

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